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201017424 = 24323414441
BaseRepresentation
bin10111111101101…
…00100001010000
3112000020202001210
423332310201100
5402430024144
631540300120
74660422426
oct1376644120
9460222053
10201017424
11a3518403
12573a1640
133285242a
141c9a9116
15129aaab9
hexbfb4850

201017424 has 80 divisors (see below), whose sum is σ = 555214464. Its totient is φ = 62515200.

The previous prime is 201017419. The next prime is 201017429. The reversal of 201017424 is 424710102.

It is a happy number.

201017424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201017419) and next prime (201017429).

It is a self number, because there is not a number n which added to its sum of digits gives 201017424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201017429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43044 + ... + 47484.

Almost surely, 2201017424 is an apocalyptic number.

201017424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201017424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277607232).

201017424 is an abundant number, since it is smaller than the sum of its proper divisors (354197040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201017424 is a wasteful number, since it uses less digits than its factorization.

201017424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 201017424 is about 14178.0613625418. The cubic root of 201017424 is about 585.7935260969.

Adding to 201017424 its reverse (424710102), we get a palindrome (625727526).

The spelling of 201017424 in words is "two hundred one million, seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 4441 5658 7544 8882 11316 13323 15088 17764 22632 26646 35528 45264 53292 71056 102143 106584 182081 204286 213168 306429 364162 408572 546243 612858 728324 817144 1092486 1225716 1456648 1634288 2184972 2451432 2913296 4187863 4369944 4902864 8375726 8739888 12563589 16751452 25127178 33502904 50254356 67005808 100508712 201017424